Me too. It turned out to be the rear glass leaking and getting the gate or glass switch wet (can't remember which one) and causing the same issue. My alarm would even trip in the middle of the night. I had to leave it unlocked till I got it fixed. There is a TSB for that. They replace the flipper glass seal and install another rubber piece across the top of the glass on the inside. There's a whole write up over on lost about it.
If all they're willing to do is replace the switch, tell them they need to replace the window seal and install the other piece.
2010 Liberty KK Sport, deep water blue, weathertech in channel vent visors, weathertech digital floor mats, Detoures backbone winch mount w/smittybilt XRC 10 comp winch, rigid industries dually led lights on smittybilt fairhead mount, Rocklizard skink supersliders and Gecko safari rack, cobra cb w/48" firestick antenna, general grabber at2 245/75-16, OME heavy duty springs, OME shocks, about 3" - 3 1/2" of lift, Detoures Knucklebone spare tire and Jerry can mount, mopar skids, class 3 hitch w/7 pin wire harness, headlight covers, 4.10's and Detroit TruTracs F&R